Sophia has $8 to spend on lunch. Does she have enough money for a sandwich, a drink, and a bag of chips?

9514 1404 393

Answer:

  (3, 4)

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  Q = (A + B + C)/3

  Q = ((1, 1) +(4, 5) +(4, 6))/3 = (1+4+4, 1+5+6)/3 = (9, 12)/3

  Q = (3, 4)

The centroid is (3, 4).

Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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The total distance covered by the horse is 0.32km.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 x (length + width)

We have

length = 100m and the width is 60m.

Substituting these values into the formula, we get:

Perimeter = 2 x (100 + 60) = 2 x 160

= 320m

The total distance covered by the horse is equal to the perimeter of the rectangle, which is 320m.

To convert the distance from meters to kilometers, we divide by 1000:

320m / 1000 = 0.32km

Therefore, the total distance covered by the horse is 0.32km.

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Answer:

0.0819

Step-by-step explanation:

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

Babysitting =$8.7

Water park =$8.7

Step-by-step explanation:

In 1 week

Babysitting =3 hrs

Water park = 10 hrs

Total =$ 109

In week 2

Babysitting = 8 hrs

Water park = 12 hrs

Total= $ 177

Both weeks

Babysitting =11 hrs

Water park =22 hrs

Total=$286

33 hrs = $ 286

11 hrs =?

11×286÷33=$95.3

33 hrs = $286

22 hrs = ?

22×286÷33=190.7

Babysitting she got $95.3 in both weeks

Water park she got $190.7(rounded offf)in both weeks

11 hrs = $95.3

1 hr = ?

1×95.3÷11=8.7 (rounded off )

22 hrs = $ 190.7

1 hr = ?

1×190.7÷22= 8.7( rounded off)

Using my learning about filing income taxes to complete the following sentences is:

1) Citizens file income taxes to ensure that they will receive a refund if they paid too much in taxes throughout the year.

2) Employers supply a W-2 form to help citizens file their tax returns.

3) Taxes returns can be filed either by mail or online.

Income taxes are compulsory levies that governments make on the incomes and profits of employees, businesspersons, and entities within their jurisdictions.

Individuals use W-2 forms to file their tax returns.  The W-2 form shows an individual's total earnings and tax withholdings.

Thus, taxes returns by individuals and entities are filed either by mail or online (electronically).

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Answer:

see the attachments for answers

PLZ MARK AS BRAINLIEST

Answer:

3 pounds

Step-by-step explanation:

75% of 12= 9 pounds of vegetable that WERE on sale

100%-75%= 25% WERE NOT

25% of 12= 3 pounds

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

-6

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

Answer:

the first one

The number line which can be used to find the distance between (4, -1) and (8,-1) is 1

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

Given the points;

(x1, y1) = (4, -1)

(x2, y2) = (8, -1)

Here, we have the same values of y for both points.

This means that the line that contains both points is a horizontal line.

To find the distance, apply the formula:

\(d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }\)

Since they have the same y values, the number line to represent the distance between both points must have the points 4 and 8;

Hence, we have;

 \(d= \sqrt{(8-4)^{2}+(-1+1)^{2} }\)

   \(d= \sqrt{4^{2} + 0^{2} }\)

     d= 4

The distance between both points is 4;

Therefore, the number line that can be used to find the distance between both points is the number line in option A.

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Answer:

1.79

Step-by-step explanation:

Using the distance formula, we can find the distance between them as a function of time t:

D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−4t−0)2+(0−2t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=16t2+4t2‾‾‾‾‾‾‾‾‾‾√=20t2‾‾‾‾√=t20‾‾‾√

(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 8 and solving for t, we find

t20‾‾‾√t=8=820‾‾‾√≈1.79

Answer:

$18.50

Step-by-step explanation:

So they have to spend 40 dollars on gas so that is -40

225-40=185.

Now they want to split 185$ among 10 people so

185/10=18.50

$18.50

Answer:

top left:

Explanation:

The algae area doubles every week, meaning after one week its area will be

after two weeks

after 3 weeks

and so on.

After t weeks the area will be

Now, we want this area to be at least 76 square meters (at least means we use ≥ symbol); therefore,

which is our answer!

Answer:

0.8

Step-by-step explanation:

The mean number of workers with a college degree is 40.8, and the standard deviation is 5.37.

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

Given Sample size (n) is 120 workers

Proportion of workers who are college graduates (p): 34% or 0.34

a) Mean and Standard Deviation:

The mean (μ) of a binomial distribution is given by μ = np, and the standard deviation (σ) is given by σ =√np(1 - p).

Substituting the values:

μ = 120 ×0.34 = 40.8

σ = √120 × 0.34 × (1 - 0.34)) = 5.37

To find the probability that the number of workers with a college degree is at least 35

we need to calculate the cumulative probability of the binomial distribution from 35 to the maximum possible value, which is 120 in this case.

Using a binomial probability calculator or a statistical software, we can find this probability.

Assuming a binomial distribution with parameters n = 120 and p = 0.34, the probability can be calculated as follows:

P(X ≥ 35) = 1 - P(X < 35)

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160

Given:

length of the piece of string = 3/4 inches

length of the piece that we need = 1/8 inches

The number of smaller piece that we can get from the original piece of string can be calculated using the formula:

Applying this formula:

If the number of pieces is represented as n:

Answer:

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Answer:

12 ways

Step-by-step explanation:

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

40 miles per hour

or

40 mph

Step-by-step explanation:

Speed = Distance / Time

Speed = 200 / 5

Speed = 40 miles per hour

Answer:

$81.06

A P E X :)

Let us first solve the inequality and then answer our questions.

The first step in solving the inequality is to subtract 5 from both sides to get:

Dividing both sides by -4 reverses the sign of the inequality and gives us

Hence, the solutions to the inequality are all values greater than or equal to -3.

The correct solutions to choose, therefore, are -3, -2, and -1.

And the graph of the inequality is given below.

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.